that is \(g\)  is (\(\sigma \) ) temperate uniformly in \(\gamma \ge 0\)  and \( M\ge 1\)  (see [1]}). Therefore \(g\)  is an admissible metric. It is clear from (REF ) that
\(g_z^{\sigma }(z-w)\le C\big (1+g_w^{\sigma }(z-w)\big )^2.\) 
